8742 has 16 divisors (see below), whose sum is σ = 18432. Its totient is φ = 2760.

The previous prime is 8741. The next prime is 8747. The reversal of 8742 is 2478.

It is a happy number.

8742 is nontrivially palindromic in base 5.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8742.

It is not an unprimeable number, because it can be changed into a prime (8741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

2⁸⁷⁴² is an apocalyptic number.

It is a pronic number, being equal to 93×94.

8742 is an abundant number, since it is smaller than the sum of its proper divisors (9690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216).

8742 is a wasteful number, since it uses less digits than its factorization.

8742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 448, while the sum is 21.

The square root of 8742 is about 93.4986630920. The cubic root of 8742 is about 20.6001445304.

The spelling of 8742 in words is "eight thousand, seven hundred forty-two".